The severity of integer bugs, lie on the fact that they can lead in buffer overflows. Some more recent incidents are mentioned below:
Many well-known applications, such as QuickTime – [ZDNet] -
OpenOffice – [ZDNet] -
and Windows Media Player – [The Register] -
have recently presented integer bugs.

A malicious user can trigger integer overflows even in voting machines that are used in California:[WIRED]